PhysicsA shell in flight explodes into n equal fragments, k of the fragments reach the ground earlier than the other fragments. The acceleration of their centre of mass subsequently will be

A shell in flight explodes into n equal fragments, k of the fragments reach the ground earlier than the other fragments. The acceleration of their centre of mass subsequently will be

  1. A

    g

  2. B

    (n-k)g

  3. C

    (n-k)gk

  4. D

    (n-k)ng

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    Solution:

    If 'k' fragments reaches ground 

    So, their acceleration = 0

    aCM=m1a1+.....+m2a2m1+....+mn

    =mg+......+(n-k)terms+m(0)+......+k termsnm

    =(n-k)mgnm=(n-k)gn

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